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Simplifying 2m(m + -3) + -5(m + -3) = 0 Reorder the terms: 2m(-3 + m) + -5(m + -3) = 0 (-3 * 2m + m * 2m) + -5(m + -3) = 0 (-6m + 2m2) + -5(m + -3) = 0 Reorder the terms: -6m + 2m2 + -5(-3 + m) = 0 -6m + 2m2 + (-3 * -5 + m * -5) = 0 -6m + 2m2 + (15 + -5m) = 0 Reorder the terms: 15 + -6m + -5m + 2m2 = 0 Combine like terms: -6m + -5m = -11m 15 + -11m + 2m2 = 0 Solving 15 + -11m + 2m2 = 0 Solving for variable 'm'. Factor a trinomial. (5 + -2m)(3 + -1m) = 0Subproblem 1
Set the factor '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {2.5, 3}
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